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  <div class="headertitle">
<div class="title">functors/UnaryFunctors.h</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2008-2016 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_UNARY_FUNCTORS_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_UNARY_FUNCTORS_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;../InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_opposite_op {</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> -a; }</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pnegate(a); }</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;};</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_opposite_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;{ <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasNegate };</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;};</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160; </div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_abs_op {</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> result_type operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::abs(a); }</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pabs(a); }</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;};</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_abs_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;{</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasAbs</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  };</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;};</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_score_coeff_op : scalar_abs_op&lt;Scalar&gt;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;{</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  <span class="keyword">typedef</span> <span class="keywordtype">void</span> Score_is_abs;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;};</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_score_coeff_op&lt;Scalar&gt; &gt; : functor_traits&lt;scalar_abs_op&lt;Scalar&gt; &gt; {};</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="comment">/* Avoid recomputing abs when we know the score and they are the same. Not a true Eigen functor.  */</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span>=<span class="keywordtype">void</span>&gt; <span class="keyword">struct </span>abs_knowing_score</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;{</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Score&gt;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> result_type operator() (<span class="keyword">const</span> Scalar&amp; a, <span class="keyword">const</span> Score&amp;)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::abs(a); }</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;};</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>abs_knowing_score&lt;Scalar, typename scalar_score_coeff_op&lt;Scalar&gt;::Score_is_abs&gt;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;{</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scal&gt;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> result_type operator() (<span class="keyword">const</span> Scal&amp;, <span class="keyword">const</span> result_type&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;};</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160; </div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_abs2_op {</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  EIGEN_DEVICE_FUNC</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> result_type operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::abs2(a); }</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmul(a,a); }</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;};</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_abs2_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasAbs2 }; };</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_conjugate_op {</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  EIGEN_DEVICE_FUNC</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::conj(a); }</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pconj(a); }</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;};</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_conjugate_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;{</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    Cost = 0,</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    <span class="comment">// Yes the cost is zero even for complexes because in most cases for which</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <span class="comment">// the cost is used, conjugation turns to be a no-op. Some examples:</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="comment">//   cost(a*conj(b)) == cost(a*b)</span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="comment">//   cost(a+conj(b)) == cost(a+b)</span></div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    <span class="comment">//   &lt;etc.</span></div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="comment">// If we don&#39;t set it to zero, then:</span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    <span class="comment">//   A.conjugate().lazyProduct(B.conjugate())</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="comment">// will bake its operands. We definitely don&#39;t want that!</span></div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasConj</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  };</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;};</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160; </div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_arg_op {</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> result_type operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::arg(a); }</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::parg(a); }</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;};</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_arg_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;{</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::IsComplex ? 5 * NumTraits&lt;Scalar&gt;::MulCost : NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasArg</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  };</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;};</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> NewType&gt;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="keyword">struct </span>scalar_cast_op {</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;  <span class="keyword">typedef</span> NewType result_type;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> NewType operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> cast&lt;Scalar, NewType&gt;(a); }</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;};</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> NewType&gt;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_cast_op&lt;Scalar,NewType&gt; &gt;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;{ <span class="keyword">enum</span> { Cost = is_same&lt;Scalar, NewType&gt;::value ? 0 : NumTraits&lt;NewType&gt;::AddCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160; </div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;<span class="keyword">struct </span>scalar_shift_right_op {</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160; </div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> a &gt;&gt; N; }</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::parithmetic_shift_right&lt;N&gt;(a); }</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;};</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_shift_right_op&lt;Scalar,N&gt; &gt;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::AddCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasShift }; };</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160; </div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;<span class="keyword">struct </span>scalar_shift_left_op {</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> a &lt;&lt; N; }</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::plogical_shift_left&lt;N&gt;(a); }</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;};</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> N&gt;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_shift_left_op&lt;Scalar,N&gt; &gt;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::AddCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasShift }; };</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160; </div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;<span class="keyword">struct </span>scalar_real_op {</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;  EIGEN_DEVICE_FUNC</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;  EIGEN_STRONG_INLINE result_type operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::real(a); }</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;};</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_real_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160; </div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="keyword">struct </span>scalar_imag_op {</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;  EIGEN_DEVICE_FUNC</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;  EIGEN_STRONG_INLINE result_type operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::imag(a); }</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;};</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_imag_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160; </div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="keyword">struct </span>scalar_real_ref_op {</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  EIGEN_DEVICE_FUNC</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  EIGEN_STRONG_INLINE result_type&amp; operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::real_ref(*<span class="keyword">const_cast&lt;</span>Scalar*<span class="keyword">&gt;</span>(&amp;a)); }</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;};</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_real_ref_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160; </div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;<span class="keyword">struct </span>scalar_imag_ref_op {</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;  EIGEN_DEVICE_FUNC</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  EIGEN_STRONG_INLINE result_type&amp; operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::imag_ref(*<span class="keyword">const_cast&lt;</span>Scalar*<span class="keyword">&gt;</span>(&amp;a)); }</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;};</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_imag_ref_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160; </div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_exp_op {</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pexp(a); }</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pexp(a); }</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;};</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_exp_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasExp,</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;    <span class="comment">// The following numbers are based on the AVX implementation.</span></div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;<span class="preprocessor">#ifdef EIGEN_VECTORIZE_FMA</span></div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;    <span class="comment">// Haswell can issue 2 add/mul/madd per cycle.</span></div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;    Cost =</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;    (<span class="keyword">sizeof</span>(Scalar) == 4</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;     <span class="comment">// float: 8 pmadd, 4 pmul, 2 padd/psub, 6 other</span></div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;     ? (8 * NumTraits&lt;Scalar&gt;::AddCost + 6 * NumTraits&lt;Scalar&gt;::MulCost)</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;     <span class="comment">// double: 7 pmadd, 5 pmul, 3 padd/psub, 1 div,  13 other</span></div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;     : (14 * NumTraits&lt;Scalar&gt;::AddCost +</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        6 * NumTraits&lt;Scalar&gt;::MulCost +</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        scalar_div_cost&lt;Scalar,packet_traits&lt;Scalar&gt;::HasDiv&gt;::value))</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    Cost =</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;    (<span class="keyword">sizeof</span>(Scalar) == 4</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;     <span class="comment">// float: 7 pmadd, 6 pmul, 4 padd/psub, 10 other</span></div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;     ? (21 * NumTraits&lt;Scalar&gt;::AddCost + 13 * NumTraits&lt;Scalar&gt;::MulCost)</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;     <span class="comment">// double: 7 pmadd, 5 pmul, 3 padd/psub, 1 div,  13 other</span></div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;     : (23 * NumTraits&lt;Scalar&gt;::AddCost +</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;        12 * NumTraits&lt;Scalar&gt;::MulCost +</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;        scalar_div_cost&lt;Scalar,packet_traits&lt;Scalar&gt;::HasDiv&gt;::value))</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;  };</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;};</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160; </div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_expm1_op {</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::expm1(a); }</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pexpm1(a); }</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;};</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_expm1_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasExpm1,</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;    Cost = functor_traits&lt;scalar_exp_op&lt;Scalar&gt; &gt;::Cost <span class="comment">// TODO measure cost of expm1</span></div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;  };</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;};</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160; </div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_log_op {</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::log(a); }</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::plog(a); }</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;};</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_log_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasLog,</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;    Cost =</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;    (PacketAccess</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;     <span class="comment">// The following numbers are based on the AVX implementation.</span></div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;<span class="preprocessor">#ifdef EIGEN_VECTORIZE_FMA</span></div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;     <span class="comment">// 8 pmadd, 6 pmul, 8 padd/psub, 16 other, can issue 2 add/mul/madd per cycle.</span></div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;     ? (20 * NumTraits&lt;Scalar&gt;::AddCost + 7 * NumTraits&lt;Scalar&gt;::MulCost)</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;#<span class="keywordflow">else</span></div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;     <span class="comment">// 8 pmadd, 6 pmul, 8 padd/psub, 20 other</span></div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;     ? (36 * NumTraits&lt;Scalar&gt;::AddCost + 14 * NumTraits&lt;Scalar&gt;::MulCost)</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;     <span class="comment">// Measured cost of std::log.</span></div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;     : <span class="keyword">sizeof</span>(Scalar)==4 ? 40 : 85)</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;  };</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;};</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160; </div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_log1p_op {</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::log1p(a); }</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::plog1p(a); }</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;};</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_log1p_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasLog1p,</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;    Cost = functor_traits&lt;scalar_log_op&lt;Scalar&gt; &gt;::Cost <span class="comment">// TODO measure cost of log1p</span></div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;  };</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;};</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160; </div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_log10_op {</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ EIGEN_USING_STD(<a class="code" href="namespaceEigen.html#a25256faeec3ffd0f3615a0e1e45dfb14">log10</a>) <span class="keywordflow">return</span> <a class="code" href="namespaceEigen.html#a25256faeec3ffd0f3615a0e1e45dfb14">log10</a>(a); }</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::plog10(a); }</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;};</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_log10_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;{ <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasLog10 }; };</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160; </div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_log2_op {</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> Scalar(EIGEN_LOG2E) * numext::log(a); }</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::plog2(a); }</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;};</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_log2_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;{ <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasLog }; };</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160; </div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_sqrt_op {</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::sqrt(a); }</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::psqrt(a); }</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;};</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_sqrt_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;<span class="preprocessor">#if EIGEN_FAST_MATH</span></div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;    <span class="comment">// The following numbers are based on the AVX implementation.</span></div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;    Cost = (<span class="keyword">sizeof</span>(Scalar) == 8 ? 28</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;                                <span class="comment">// 4 pmul, 1 pmadd, 3 other</span></div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;                                : (3 * NumTraits&lt;Scalar&gt;::AddCost +</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;                                   5 * NumTraits&lt;Scalar&gt;::MulCost)),</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;#<span class="keywordflow">else</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;    <span class="comment">// The following numbers are based on min VSQRT throughput on Haswell.</span></div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;    Cost = (<span class="keyword">sizeof</span>(Scalar) == 8 ? 28 : 14),</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;#endif</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasSqrt</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;  };</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;};</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160; </div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;<span class="comment">// Boolean specialization to eliminate -Wimplicit-conversion-floating-point-to-bool warnings.</span></div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;<span class="keyword">template</span>&lt;&gt; <span class="keyword">struct </span>scalar_sqrt_op&lt;bool&gt; {</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator() (<span class="keyword">const</span> <span class="keywordtype">bool</span>&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;};</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_sqrt_op&lt;bool&gt; &gt; {</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;  <span class="keyword">enum</span> { Cost = 1, PacketAccess = packet_traits&lt;bool&gt;::Vectorizable };</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;};</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160; </div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_rsqrt_op {</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::rsqrt(a); }</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::prsqrt(a); }</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;};</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160; </div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_rsqrt_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;{ <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasRsqrt</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;  };</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;};</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160; </div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_cos_op {</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::cos(a); }</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pcos(a); }</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;};</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_cos_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;{</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasCos</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;  };</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;};</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160; </div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_sin_op {</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::sin(a); }</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::psin(a); }</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;};</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_sin_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;{</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasSin</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;  };</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;};</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160; </div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160; </div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_tan_op {</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::tan(a); }</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::ptan(a); }</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;};</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_tan_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;{</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasTan</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;  };</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;};</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160; </div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_acos_op {</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::acos(a); }</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pacos(a); }</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;};</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_acos_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;{</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasACos</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;  };</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;};</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160; </div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_asin_op {</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::asin(a); }</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pasin(a); }</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;};</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_asin_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;{</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasASin</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;  };</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;};</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160; </div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160; </div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_atan_op {</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::atan(a); }</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::patan(a); }</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;};</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_atan_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;{</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasATan</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;  };</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;};</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160; </div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;<span class="keyword">struct </span>scalar_tanh_op {</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator()(<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::tanh(a); }</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; x)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> ptanh(x); }</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;};</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160; </div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_tanh_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasTanh,</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;    Cost = ( (EIGEN_FAST_MATH &amp;&amp; is_same&lt;Scalar,float&gt;::value)</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;<span class="comment">// The following numbers are based on the AVX implementation,</span></div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;#ifdef EIGEN_VECTORIZE_FMA</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;                <span class="comment">// Haswell can issue 2 add/mul/madd per cycle.</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;                <span class="comment">// 9 pmadd, 2 pmul, 1 div, 2 other</span></div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;                ? (2 * NumTraits&lt;Scalar&gt;::AddCost +</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;                   6 * NumTraits&lt;Scalar&gt;::MulCost +</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;                   scalar_div_cost&lt;Scalar,packet_traits&lt;Scalar&gt;::HasDiv&gt;::value)</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;                ? (11 * NumTraits&lt;Scalar&gt;::AddCost +</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;                   11 * NumTraits&lt;Scalar&gt;::MulCost +</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;                   scalar_div_cost&lt;Scalar,packet_traits&lt;Scalar&gt;::HasDiv&gt;::value)</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;#endif</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;                <span class="comment">// This number assumes a naive implementation of tanh</span></div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;                : (6 * NumTraits&lt;Scalar&gt;::AddCost +</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;                   3 * NumTraits&lt;Scalar&gt;::MulCost +</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;                   2 * scalar_div_cost&lt;Scalar,packet_traits&lt;Scalar&gt;::HasDiv&gt;::value +</div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;                   functor_traits&lt;scalar_exp_op&lt;Scalar&gt; &gt;::Cost))</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;  };</div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;};</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160; </div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;<span class="preprocessor">#if EIGEN_HAS_CXX11_MATH</span></div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;<span class="keyword">struct </span>scalar_atanh_op {</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator()(<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::atanh(a); }</div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;};</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160; </div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_atanh_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;  <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = <span class="keyword">false</span> };</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;};</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160; </div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_sinh_op {</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::sinh(a); }</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::psinh(a); }</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;};</div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_sinh_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;{</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasSinh</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;  };</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;};</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160; </div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;<span class="preprocessor">#if EIGEN_HAS_CXX11_MATH</span></div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;<span class="keyword">struct </span>scalar_asinh_op {</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator()(<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::asinh(a); }</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;};</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160; </div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_asinh_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;  <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = <span class="keyword">false</span> };</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;};</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160; </div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_cosh_op {</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::cosh(a); }</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pcosh(a); }</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;};</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_cosh_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;{</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasCosh</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;  };</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;};</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160; </div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;<span class="preprocessor">#if EIGEN_HAS_CXX11_MATH</span></div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;<span class="keyword">struct </span>scalar_acosh_op {</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator()(<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::acosh(a); }</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;};</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160; </div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_acosh_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;  <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = <span class="keyword">false</span> };</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;};</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160; </div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;<span class="keyword">struct </span>scalar_inverse_op {</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> Scalar(1)/a; }</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::preciprocal(a); }</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;};</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_inverse_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasDiv,</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;    <span class="comment">// If packet_traits&lt;Scalar&gt;::HasReciprocal then the Estimated cost is that</span></div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;    <span class="comment">// of computing an approximation plus a single Newton-Raphson step, which</span></div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;    <span class="comment">// consists of 1 pmul + 1 pmadd.</span></div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;    Cost = (packet_traits&lt;Scalar&gt;::HasReciprocal</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;                ? 4 * NumTraits&lt;Scalar&gt;::MulCost</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;                : scalar_div_cost&lt;Scalar, PacketAccess&gt;::value)</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;  };</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;};</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160; </div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;<span class="keyword">struct </span>scalar_square_op {</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a*a; }</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmul(a,a); }</div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;};</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_square_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasMul }; };</div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160; </div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;<span class="comment">// Boolean specialization to avoid -Wint-in-bool-context warnings on GCC.</span></div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;<span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;<span class="keyword">struct </span>scalar_square_op&lt;bool&gt; {</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator() (<span class="keyword">const</span> <span class="keywordtype">bool</span>&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;};</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;<span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_square_op&lt;bool&gt; &gt;</div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = packet_traits&lt;bool&gt;::Vectorizable }; };</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160; </div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;<span class="keyword">struct </span>scalar_cube_op {</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a*a*a; }</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmul(a,pmul(a,a)); }</div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;};</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_cube_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;{ <span class="keyword">enum</span> { Cost = 2*NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasMul }; };</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160; </div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;<span class="comment">// Boolean specialization to avoid -Wint-in-bool-context warnings on GCC.</span></div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;<span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;<span class="keyword">struct </span>scalar_cube_op&lt;bool&gt; {</div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator() (<span class="keyword">const</span> <span class="keywordtype">bool</span>&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;  EIGEN_DEPRECATED EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;};</div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;<span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_cube_op&lt;bool&gt; &gt;</div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = packet_traits&lt;bool&gt;::Vectorizable }; };</div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160; </div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_round_op {</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::round(a); }</div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pround(a); }</div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;};</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_round_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;{</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasRound</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;  };</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;};</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160; </div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_floor_op {</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::floor(a); }</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pfloor(a); }</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;};</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_floor_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;{</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasFloor</div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;  };</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;};</div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160; </div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_rint_op {</div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::rint(a); }</div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::print(a); }</div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;};</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_rint_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;{</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasRint</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;  };</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;};</div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160; </div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_ceil_op {</div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::ceil(a); }</div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pceil(a); }</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;};</div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_ceil_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;{</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasCeil</div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;  };</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;};</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160; </div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_isnan_op {</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;  <span class="keyword">typedef</span> <span class="keywordtype">bool</span> result_type;</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;<span class="preprocessor">#if defined(SYCL_DEVICE_ONLY)</span></div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;    <span class="keywordflow">return</span> numext::isnan(a);</div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;    <span class="keywordflow">return</span> (numext::isnan)(a);</div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;  }</div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;};</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_isnan_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;{</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;    PacketAccess = <span class="keyword">false</span></div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;  };</div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;};</div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160; </div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_isinf_op {</div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;  <span class="keyword">typedef</span> <span class="keywordtype">bool</span> result_type;</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;<span class="preprocessor">#if defined(SYCL_DEVICE_ONLY)</span></div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;    <span class="keywordflow">return</span> numext::isinf(a);</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;    <span class="keywordflow">return</span> (numext::isinf)(a);</div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;  }</div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;};</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_isinf_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;{</div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;    PacketAccess = <span class="keyword">false</span></div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;  };</div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;};</div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160; </div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_isfinite_op {</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;  <span class="keyword">typedef</span> <span class="keywordtype">bool</span> result_type;</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;<span class="preprocessor">#if defined(SYCL_DEVICE_ONLY)</span></div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;    <span class="keywordflow">return</span> numext::isfinite(a);</div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;    <span class="keywordflow">return</span> (numext::isfinite)(a);</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;  }</div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;};</div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_isfinite_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;{</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;    PacketAccess = <span class="keyword">false</span></div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;  };</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;};</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160; </div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_boolean_not_op {</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keywordtype">bool</span> operator() (<span class="keyword">const</span> <span class="keywordtype">bool</span>&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> !a; }</div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;};</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_boolean_not_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;    Cost = NumTraits&lt;bool&gt;::AddCost,</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;    PacketAccess = <span class="keyword">false</span></div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;  };</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;};</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160; </div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar,<span class="keywordtype">bool</span> is_complex=(NumTraits&lt;Scalar&gt;::IsComplex!=0), <span class="keywordtype">bool</span> is_<span class="keywordtype">int</span>eger=(NumTraits&lt;Scalar&gt;::IsInteger!=0) &gt; <span class="keyword">struct </span>scalar_sign_op;</div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;<span class="keyword">struct </span>scalar_sign_op&lt;Scalar, false, true&gt; {</div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;      <span class="keywordflow">return</span> Scalar( (a&gt;Scalar(0)) - (a&lt;Scalar(0)) );</div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;  }</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;  <span class="comment">//TODO</span></div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;  <span class="comment">//template &lt;typename Packet&gt;</span></div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;  <span class="comment">//EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet&amp; a) const { return internal::psign(a); }</span></div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;};</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160; </div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;<span class="keyword">struct </span>scalar_sign_op&lt;Scalar, false, false&gt; {</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;    <span class="keywordflow">return</span> (numext::isnan)(a) ? a : Scalar( (a&gt;Scalar(0)) - (a&lt;Scalar(0)) );</div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;  }</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;  <span class="comment">//TODO</span></div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;  <span class="comment">//template &lt;typename Packet&gt;</span></div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;  <span class="comment">//EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet&amp; a) const { return internal::psign(a); }</span></div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;};</div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160; </div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> is_<span class="keywordtype">int</span>eger&gt;</div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;<span class="keyword">struct </span>scalar_sign_op&lt;Scalar,true, is_integer&gt; {</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;  EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits&lt;Scalar&gt;::Real real_type;</div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;    real_type aa = numext::abs(a);</div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;    <span class="keywordflow">if</span> (aa==real_type(0))</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;      <span class="keywordflow">return</span> Scalar(0);</div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;    aa = real_type(1)/aa;</div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;    <span class="keywordflow">return</span> Scalar(a.real()*aa, a.imag()*aa );</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;  }</div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;  <span class="comment">//TODO</span></div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;  <span class="comment">//template &lt;typename Packet&gt;</span></div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;  <span class="comment">//EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet&amp; a) const { return internal::psign(a); }</span></div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;};</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_sign_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;{ <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;    Cost =</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;        NumTraits&lt;Scalar&gt;::IsComplex</div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;        ? ( 8*NumTraits&lt;Scalar&gt;::MulCost  ) <span class="comment">// roughly</span></div>
<div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;        : ( 3*NumTraits&lt;Scalar&gt;::AddCost),</div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasSign</div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;  };</div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;};</div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160; </div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160;<span class="keyword">struct </span>scalar_logistic_op {</div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T operator()(<span class="keyword">const</span> T&amp; x)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;    <span class="keywordflow">return</span> packetOp(x);</div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;  }</div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160; </div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt; EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;  Packet packetOp(<span class="keyword">const</span> Packet&amp; x)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;    <span class="keyword">const</span> Packet one = pset1&lt;Packet&gt;(T(1));</div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;    <span class="keyword">const</span> Packet inf = pset1&lt;Packet&gt;(NumTraits&lt;T&gt;::infinity());</div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160;    <span class="keyword">const</span> Packet e = pexp(x);</div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;    <span class="keyword">const</span> Packet inf_mask = pcmp_eq(e, inf);</div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;    <span class="keywordflow">return</span> pselect(inf_mask, one, pdiv(e, padd(one, e)));</div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;  }</div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;};</div>
<div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160; </div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;<span class="comment">// TODO(rmlarsen): Enable the following on host when integer_packet is defined</span></div>
<div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;<span class="comment">// for the relevant packet types.</span></div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;<span class="preprocessor">#ifdef EIGEN_GPU_CC</span></div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160; </div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;<span class="keyword">struct </span>scalar_logistic_op&lt;float&gt; {</div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE <span class="keywordtype">float</span> operator()(<span class="keyword">const</span> <span class="keywordtype">float</span>&amp; x)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;    <span class="comment">// Truncate at the first point where the interpolant is exactly one.</span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> cst_exp_hi = 16.6355324f;</div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> e = numext::exp(numext::mini(x, cst_exp_hi));</div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;    <span class="keywordflow">return</span> e / (1.0f + e);</div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;  }</div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160; </div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Packet</div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;  packetOp(<span class="keyword">const</span> Packet&amp; _x)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;    <span class="keyword">const</span> Packet cst_zero = pset1&lt;Packet&gt;(0.0f);</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;    <span class="keyword">const</span> Packet cst_one = pset1&lt;Packet&gt;(1.0f);</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;    <span class="keyword">const</span> Packet cst_half = pset1&lt;Packet&gt;(0.5f);</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;    <span class="comment">// Truncate at the first point where the interpolant is exactly one.</span></div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;    <span class="keyword">const</span> Packet cst_exp_hi = pset1&lt;Packet&gt;(16.6355324f);</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;    <span class="keyword">const</span> Packet cst_exp_lo = pset1&lt;Packet&gt;(-104.f);</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160; </div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;    <span class="comment">// Clamp x to the non-trivial range where S(x). Outside this</span></div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;    <span class="comment">// interval the correctly rounded value of S(x) is either zero</span></div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;    <span class="comment">// or one.</span></div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;    Packet zero_mask = pcmp_lt(_x, cst_exp_lo);</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;    Packet x = pmin(_x, cst_exp_hi);</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160; </div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;    <span class="comment">// 1. Multiplicative range reduction:</span></div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;    <span class="comment">// Reduce the range of x by a factor of 2. This avoids having</span></div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;    <span class="comment">// to compute exp(x) accurately where the result is a denormalized</span></div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;    <span class="comment">// value.</span></div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;    x = pmul(x, cst_half);</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160; </div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;    <span class="comment">// 2. Subtractive range reduction:</span></div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;    <span class="comment">// Express exp(x) as exp(m*ln(2) + r) = 2^m*exp(r), start by extracting</span></div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;    <span class="comment">// m = floor(x/ln(2) + 0.5), such that x = m*ln(2) + r.</span></div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;    <span class="keyword">const</span> Packet cst_cephes_LOG2EF = pset1&lt;Packet&gt;(1.44269504088896341f);</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;    Packet m = pfloor(pmadd(x, cst_cephes_LOG2EF, cst_half));</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;    <span class="comment">// Get r = x - m*ln(2). We use a trick from Cephes where the term</span></div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;    <span class="comment">// m*ln(2) is subtracted out in two parts, m*C1+m*C2 = m*ln(2),</span></div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;    <span class="comment">// to avoid accumulating truncation errors.</span></div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;    <span class="keyword">const</span> Packet cst_cephes_exp_C1 = pset1&lt;Packet&gt;(-0.693359375f);</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;    <span class="keyword">const</span> Packet cst_cephes_exp_C2 = pset1&lt;Packet&gt;(2.12194440e-4f);</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;    Packet r = pmadd(m, cst_cephes_exp_C1, x);</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;    r = pmadd(m, cst_cephes_exp_C2, r);</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160; </div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;    <span class="comment">// 3. Compute an approximation to exp(r) using a degree 5 minimax polynomial.</span></div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;    <span class="comment">// We compute even and odd terms separately to increase instruction level</span></div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;    <span class="comment">// parallelism.</span></div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;    Packet r2 = pmul(r, r);</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;    <span class="keyword">const</span> Packet cst_p2 = pset1&lt;Packet&gt;(0.49999141693115234375f);</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;    <span class="keyword">const</span> Packet cst_p3 = pset1&lt;Packet&gt;(0.16666877269744873046875f);</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;    <span class="keyword">const</span> Packet cst_p4 = pset1&lt;Packet&gt;(4.1898667812347412109375e-2f);</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;    <span class="keyword">const</span> Packet cst_p5 = pset1&lt;Packet&gt;(8.33471305668354034423828125e-3f);</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160; </div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;    <span class="keyword">const</span> Packet p_even = pmadd(r2, cst_p4, cst_p2);</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;    <span class="keyword">const</span> Packet p_odd = pmadd(r2, cst_p5, cst_p3);</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;    <span class="keyword">const</span> Packet p_low = padd(r, cst_one);</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;    Packet p = pmadd(r, p_odd, p_even);</div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;    p = pmadd(r2, p, p_low);</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; </div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;    <span class="comment">// 4. Undo subtractive range reduction exp(m*ln(2) + r) = 2^m * exp(r).</span></div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160;    Packet e = pldexp_fast_impl&lt;Packet&gt;::run(p, m);</div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160; </div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160;    <span class="comment">// 5. Undo multiplicative range reduction by using exp(r) = exp(r/2)^2.</span></div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160;    e = pmul(e, e);</div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160; </div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160;    <span class="comment">// Return exp(x) / (1 + exp(x))</span></div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;    <span class="keywordflow">return</span> pselect(zero_mask, cst_zero, pdiv(e, padd(cst_one, e)));</div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;  }</div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;};</div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;<span class="preprocessor">#endif  </span><span class="comment">// #ifndef EIGEN_GPU_COMPILE_PHASE</span></div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160; </div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160; </div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_logistic_op&lt;T&gt; &gt; {</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;    <span class="comment">// The cost estimate for float here here is for the common(?) case where</span></div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;    <span class="comment">// all arguments are greater than -9.</span></div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;    Cost = scalar_div_cost&lt;T, packet_traits&lt;T&gt;::HasDiv&gt;::value +</div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;           (internal::is_same&lt;T, float&gt;::value</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;                ? NumTraits&lt;T&gt;::AddCost * 15 + NumTraits&lt;T&gt;::MulCost * 11</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;                : NumTraits&lt;T&gt;::AddCost * 2 +</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;                      functor_traits&lt;scalar_exp_op&lt;T&gt; &gt;::Cost),</div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;    PacketAccess =</div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;        packet_traits&lt;T&gt;::HasAdd &amp;&amp; packet_traits&lt;T&gt;::HasDiv &amp;&amp;</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;        (internal::is_same&lt;T, float&gt;::value</div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;             ? packet_traits&lt;T&gt;::HasMul &amp;&amp; packet_traits&lt;T&gt;::HasMax &amp;&amp;</div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;                   packet_traits&lt;T&gt;::HasMin</div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;             : packet_traits&lt;T&gt;::HasNegate &amp;&amp; packet_traits&lt;T&gt;::HasExp)</div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;  };</div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;};</div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160; </div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160; </div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160; </div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_FUNCTORS_H</span></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition:</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a25256faeec3ffd0f3615a0e1e45dfb14"><div class="ttname"><a href="namespaceEigen.html#a25256faeec3ffd0f3615a0e1e45dfb14">Eigen::log10</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_log10_op&lt; typename Derived::Scalar &gt;, const Derived &gt; log10(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
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